The Family Tree of Fractal Curves

This book explains a taxonomy of plane-filling curves (fractal curves with a fractal dimension of 2). it includes the classic fractal curves described in Mandelbrot's original book. Many new fractal curves are introduced. The taxonomy is based upon the Gaussian integers and the Eisenstein integers - each forming a lattice (square and triangular). These lattices have algebraic properties, which allows number theory to be used in describing and classifying these curves. This work has been under development for over 30 years. An earlier version of this taxonomy is described in the book "Brain-filling Curves", also by Jeffrey Ventrella. More on plane-filling curves can be found at fractalcurves.com

Author: Jeffrey Ventrella
Publisher: Eyebrain Books
Published: 06/21/2019
Pages: 154
Binding Type: Paperback
Weight: 0.52lbs
Size: 9.00h x 6.00w x 0.36d
ISBN: 9780983054634

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